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Finding the Third Proportional to 156,980 and 250,617

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Solution

The third proportional to 156,980 and 250,617 is: 400,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,980 : 250,617 = 250,617 : x
  2. Step 2: Convert to fraction form
    156,980/250,617 = 250,617/x
  3. Step 3: Cross multiply
    156,980x = 250,617 × 250,617
  4. Step 4: Simplify right side
    156,980x = 62,808,880,689
  5. Step 5: Solve for x
    x = 62,808,880,689/156,980
  6. Step 6: Final answer
    x = 400,107.53

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.